Atkin-Lehner |
3+ 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52767a |
Isogeny class |
Conductor |
52767 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
103396564545417 = 39 · 11 · 132 · 414 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16175,626590] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-10:1] |
Generators of the group modulo torsion |
j |
23776072468875/5253089699 |
j-invariant |
L |
3.5032554438416 |
L(r)(E,1)/r! |
Ω |
0.56280845577017 |
Real period |
R |
3.1122981610637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52767b1 |
Quadratic twists by: -3 |